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A semi-analytical method for the dynamic characteristics of stiffened plate with general boundary conditions

机译:具有一般边界条件的加筋板动力学特性的半解析方法

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摘要

In this paper, the free, steady and transient vibration response of stiffened plate with general boundary conditions are studied through theoretical and experimental comparisons. Firstly, the structural energy functional is established in the framework of the first-order shear deformation theory (FSDT), the stiffened plate is divided into several equal parts according to the domain decomposition method (DDM). Next, the artificial springs are introduced to ensure the continuity of segments and diversified boundary conditions. The unified Jacobi orthogonal polynomials and trigonometric series are expanded to represents the displacement field along different directions, and the free, steady and transient vibration characteristics of stiffened plate can be obtained by using Rayleigh-Ritz method. Results for various boundary conditions, structure parameter are presented, the validity and accuracy of the proposed method is verified by comparing with the existing literatures and experiment, the arbitrary impulse excitation load and damped vibration are considered. It is clearly shown that the accurate solutions can be obtained by using proposed method and the research can supply technical support for the vibration control of stiffened plate structure.
机译:本文通过理论和实验比较,研究了加筋板在一般边界条件下的自由、稳态和瞬态振动响应。首先,在一级剪切变形理论(FSDT)的框架下建立结构能泛函,根据域分解法(DDM)将加劲板分成若干相等的部分;接下来,引入人工弹簧,以保证管片的连续性和多样化的边界条件。将统一的雅可比正交多项式和三角级数展开,表示沿不同方向的位移场,利用瑞利-里兹方法得到加筋板的自由、稳态和瞬态振动特性。给出了各种边界条件、结构参数的结果,并与现有文献和实验进行了对比,验证了所提方法的有效性和准确性,并考虑了任意脉冲励磁载荷和阻尼振动。结果表明,利用所提方法可以得到精确的解,研究结果可为加筋板结构的振动控制提供技术支撑。

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